Ln(3+1)-ln(x+5)=0

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Solution for Ln(3+1)-ln(x+5)=0 equation:


Simplifying
Ln(3 + 1) + -1ln(x + 5) = 0

Combine like terms: 3 + 1 = 4
nL(4) + -1ln(x + 5) = 0

Reorder the terms for easier multiplication:
4nL + -1ln(x + 5) = 0

Reorder the terms:
4nL + -1ln(5 + x) = 0
4nL + (5 * -1ln + x * -1ln) = 0
4nL + (-5ln + -1lnx) = 0

Reorder the terms:
-5ln + -1lnx + 4nL = 0

Solving
-5ln + -1lnx + 4nL = 0

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-4nL' to each side of the equation.
-5ln + -1lnx + 4nL + -4nL = 0 + -4nL

Combine like terms: 4nL + -4nL = 0
-5ln + -1lnx + 0 = 0 + -4nL
-5ln + -1lnx = 0 + -4nL
Remove the zero:
-5ln + -1lnx = -4nL

Combine like terms: -4nL + 4nL = 0
-5ln + -1lnx + 4nL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-5l + -1lx + 4L) = 0

Subproblem 1

Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-5l + -1lx + 4L)' equal to zero and attempt to solve: Simplifying -5l + -1lx + 4L = 0 Reorder the terms: 4L + -5l + -1lx = 0 Solving 4L + -5l + -1lx = 0 Move all terms containing l to the left, all other terms to the right. Add '-4L' to each side of the equation. 4L + -5l + -4L + -1lx = 0 + -4L Reorder the terms: 4L + -4L + -5l + -1lx = 0 + -4L Combine like terms: 4L + -4L = 0 0 + -5l + -1lx = 0 + -4L -5l + -1lx = 0 + -4L Remove the zero: -5l + -1lx = -4L The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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